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Beliebt Rechnen >

1/x (dy)/(dx)-2/(x^2)y=x^2e^{-x}

Lösung

\frac{1}{x} \frac{d y}{d x} - \frac{2}{x ^{2}} y = x^{2} e^{- x}

Lösung

y = - e^{- x} x^{3} - e^{- x} x^{2} + c_{1} x^{2}

Schritte zur Lösung

\frac{1}{x} \frac{d y}{d x} - \frac{2}{x ^{2}} y = x^{2} e^{- x}

Solve linear ODE:

y = - e^{- x} x^{3} - e^{- x} x^{2} + c_{1} x^{2}

y = - e^{- x} x^{3} - e^{- x} x^{2} + c_{1} x^{2}

Graph

Beliebte Beispiele

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\int \frac{y - y}{y ^{2}} d y

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\int (ln (x))^{2} d x

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\int_{- 1}^{1} ((1) - (x^{2})) d x

(\partial)/(\partial y)((x+y)^2+(x+1)^2)

\frac{\partial}{\partial y} ((x + y)^{2} + (x + 1)^{2})